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受欢迎的代数 >

solvefor x,0=0.81x^2-11.78x+13.52

解答

x, 0 = 0.81 x^{2} - 11.78 x + 13.52

解答

x = \frac{589 + 237409}{81}, x = \frac{589 - 237409}{81}

+1

十进制

x = 13.28699 \dots, x = 1.25621 \dots

求解步骤

0 = 0.81 x^{2} - 11.78 x + 13.52

在两边乘以

100

0 = 81 x^{2} - 1178 x + 1352

交换两边

81 x^{2} - 1178 x + 1352 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 1178 ) \pm ( - 1178 ) ^{2} - 4 \cdot 81 \cdot 1352}{2 \cdot 81}

(- 1178)^{2} - 4 \cdot 81 \cdot 1352 = 2237409

x_{1, 2} = \frac{- ( - 1178 ) \pm 2 237409}{2 \cdot 81}

将解分隔开

x_{1} = \frac{- ( - 1178 ) + 2 237409}{2 \cdot 81}, x_{2} = \frac{- ( - 1178 ) - 2 237409}{2 \cdot 81}

x = \frac{- ( - 1178 ) + 2 237409}{2 \cdot 81} : \frac{589 + 237409}{81}

x = \frac{- ( - 1178 ) - 2 237409}{2 \cdot 81} : \frac{589 - 237409}{81}

二次方程组的解是:

x = \frac{589 + 237409}{81}, x = \frac{589 - 237409}{81}

作图

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